Transverse Nonlinear Vibration of a Vertical Cantilever Considering Its Self-weight and Vibration Reduction via Nonlinear Energy Sink
This paper develops a transverse nonlinear vibration model for a vertical cantilever that accounts for self-weight and demonstrates that a nonlinear energy sink significantly reduces forced vibrations, with numerical results showing that self-weight has a limited effect on the system's natural frequencies and mode shapes.